62492274900 has 576 divisors, whose sum is σ = 234734976000. Its totient is φ = 14101516800.

The previous prime is 62492274857. The next prime is 62492274961. The reversal of 62492274900 is 947229426.

It is a happy number.

62492274900 is a `hidden beast` number, since 6 + 2 + 492 + 2 + 74 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33292762 + ... + 33294638.

It is an arithmetic number, because the mean of its divisors is an integer number (407526000).

Almost surely, 2^62492274900 is an apocalyptic number.

62492274900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62492274900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117367488000).

62492274900 is an abundant number, since it is smaller than the sum of its proper divisors (172242701100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

62492274900 is a wasteful number, since it uses less digits than its factorization.

62492274900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 62492274900 in words is "sixty-two billion, four hundred ninety-two million, two hundred seventy-four thousand, nine hundred".